# 442

## 442 is an even composite number composed of three prime numbers multiplied together.

What does the number 442 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 8 divisors.

442 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of eight divisors.

## Prime factorization of 442:

### 2 × 13 × 17

See below for interesting mathematical facts about the number 442 from the Numbermatics database.

### Names of 442

• Cardinal: 442 can be written as Four hundred forty-two.

### Scientific notation

• Scientific notation: 4.42 × 102

### Factors of 442

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 3
• Sum of prime factors: 32

### Divisors of 442

• Number of divisors d(n): 8
• Complete list of divisors:
• Sum of all divisors σ(n): 756
• Sum of proper divisors (its aliquot sum) s(n): 314
• 442 is a deficient number, because the sum of its proper divisors (314) is less than itself. Its deficiency is 128

### Bases of 442

• Binary: 1101110102
• Base-36: CA

### Squares and roots of 442

• 442 squared (4422) is 195364
• 442 cubed (4423) is 86350888
• The square root of 442 is 21.0237960417
• The cube root of 442 is 7.6174116031

### Scales and comparisons

How big is 442?
• 442 seconds is equal to 7 minutes, 22 seconds.
• To count from 1 to 442 would take you about three minutes.

This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)

• A cube with a volume of 442 cubic inches would be around 0.6 feet tall.

### Recreational maths with 442

• 442 backwards is 244
• The number of decimal digits it has is: 3
• The sum of 442's digits is 10
• More coming soon!